Problems for home work(time domain response) Q1) Consider a second order all-pole transfer function model, if the desired settling time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be located in s-plane? and what there are. The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for unit step response of the system. Q2) Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach 95.03% of final value, what is the value of t. Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system? Q5) For the control system shown in Fig A below, a) Determine the values of gain K and the time constant T so that the system response for unit-step input is as shown in Fig. B. b) With these values of K and T, obtain in part (a), find the peak time and percentage overshoot. c) Calculate the position error coefficient and the steady-state error. Mp-? R(S) C(S) K S(S+3T) 1 0.02 0.5 0.5 T Fig. A 4.0

Problems for home work(time domain response) Q1) Consider a second order all-pole transfer function model, if the desired settling time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be located in s-plane? and what there are. The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for unit step response of the system. Q2) Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach 95.03% of final value, what is the value of t. Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system? Q5) For the control system shown in Fig A below, a) Determine the values of gain K and the time constant T so that the system response for unit-step input is as shown in Fig. B. b) With these values of K and T, obtain in part (a), find the peak time and percentage overshoot. c) Calculate the position error coefficient and the steady-state error. Mp-? R(S) C(S) K S(S+3T) 1 0.02 0.5 0.5 T Fig. A 4.0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

From a compliance transfer function of a spring-mass–damper system, the stiffness is determined to have a value of 0.6 N/m, a natural frequency of 0.50 rad/s, and a damping coefficient of 0.089 kg/s.1. Neatly derive the expressions of the magnitude and phase of the mobility transfer function
Solve All parts or will dislike answer A. Find the open-loop transfer function . Y(S) / R(S)B. Find ?(?) when the input ?(?) is a step function (use expansion of partial fractions).C. State the damping factor ?.D. Indicate whether the system is overdamped, underdamped, or critically damped.E. Indicate the natural frequency of the system ??.F. Indicate the poles and zeros of the system.G. Use the end theorem to find the steady-state value.H. Find ?(?) (use inverse Laplace transform).I. Plot the time response of the system.
A hard disk drive (HDD) is an electro-mechanical data storage device that stores and retrieves digital data using magnetic storage and one or more rigid rapidly rotating platters coated with magnetic material. Figure 1 shows a simplified block diagram of a HDD. For analysis purposes, given gain K=30 and G(s)=1 / s(s+4) determine the open-loop and closed loop poles of the HDD and plot these separately in the S-Plane. Also discuss the stability using two different approaches.
Difference equation of a discrete-time causal (right-sided) LTI system, y(n) = 2 x(n) – x(n-1) -1/4 y(n-1) + 1/8 y(n-2) is given as. a) Give the system function H(z). b) Indicate zero, poles and ROC in the Z-plane. Is the system stable? Please explain. c) Find the impulse response of the system. d) If the system is left-sided, repeat (b) and (c).
Q1) Consider a second order all-pole transfer function model, if the desired settlingtime (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles belocated in s-plane? and what there are.
1. Finding the closed loop transfer function of the system2.What is the steady state error of the system when a unit ramp signal is applied to its input?3. Given Km=5 and Kb=0.01, what should be the K value for a steady-state error to occur at the unit ramp input of the system?
Calculate the range of values K will take for the steady-state error to be ??? ≤ 0.04 when the input of the system is ?(?) = ?. Calculate the range of values K will take for the damping ratio to be 1>ξ ≥(1/2√6). Calculate the damping rate ξ and the undamped natural frequency ?? so that ? = 0.5
What is the output response of a second order system. Differentiate the following response: A. Underdamped system B. Overdamped System C. Critically damped System D. Undamped system What is a damping ratio and how it is associated with the responses in 2. What are the equation for the response time in a second order system?
For the system defined by the first-order differential equation 100y'(t) + y(t) = x(t). a) Plot the log magnitude (dB)-log frequency graph of H(jw). b) The input is assumed to be suppressed when the magnitude of H(jw) is -40 dB. It is given that the x(t)=coswat signal is suppressed by this system. What is the smallest wa value in this case? Subject: Signals and Systems
4.Transfer function of the pulmonary system that represents alveolar pressure PAto Pao is given by ?(?)=0.8/?2+4?+1. How much is PAfor Pao = 5 mmH2O, at steady stateinmmH2O? The original of the problem is attached.
Why should the pole of a first order system be in the negative real axis and cannot be positive? Usestep response plots to justify your response.
Show that the derivative of a 1-D signal, I=I(x), amplifies the higher frequency components of the signal. Then, prove that even a slight amount of noise n=n(x), can be responsible for a large difference between the derivative I and I+n (Hint: Assume that n can be written as εsin(ωx) for some very small ε and very large ω).